HKDSE-MATH - 2021

2021-I-01

Ans: $\dfrac{\beta^{23}}{\alpha^9}$
$\begin{array}{c

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2021

2021-I-02

Ans: $a=\dfrac{4-5b}{3}$
$\begin{array}{rcl}
\dfrac{4

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2021-I-03

Ans: (a) $(2x-y)(3x+2y)$ (b) $(2x-y)(4-3x-2y)$

$\begin{

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2021-I-04

Ans: (a) $-4 \le x < 7$ (b) $6$

Consider the first inequality, we have
$\b

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2021-I-05

Ans: $48$
Let $x$ and $y$ be the number of stickers owned by th

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2021-I-06

Ans: $\$260$
Let $\$x$ be the cost of the shirt.

The marked pr

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2021-I-07

Ans: (a) $60^\circ$ (b) $21$ (c) $63$

$\begin{array}{cl}
&

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2021-I-08

Ans: (b) (i) Yes (ii) $270\text{ cm}^2$

In $\Delta ACE$ and $

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2021-I-09

Ans: (a) $28$ (b) Range $=5$, inter-quartile range $=2$, st

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2021-I-10

Ans: (a) $45$ (b) (i) $48$ (ii) $-4$

Let $f(x) = k_1 +k_2(x+4)

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2021-I-11

Ans: (a) $3$ (b) No (c) (i) $42$ (ii) $11$ (iii) $10$

The mean
$

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2021-I-12

Ans: (a) $-67$ (c) No

By the division algorithm, we have
$p(x

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2021-I-13

Ans: (a) $10$ (b) Yes (c) $120$

Centre of $G$
$\begin{array}

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2021-I-14

Ans: (a) $10\text{ cm}$ (b) No (c) Yes

Let $r\text{ cm}$ be th

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2021

2021-I-15

Ans: (a) $3\ 628\ 800$ (b) $\dfrac{7}{15}$

The required num

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2021-I-16

Ans: (a) $\left\{ \begin{array}{l} 3x-2y+6 \ge 0 \\ 2x+3y-

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2021-I-17

Ans: (a) $6$ (b) $33$

Let $a$ and $d$ be the first term and the c

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2021-I-18

Ans: (a) $36.7\text{ cm}$ (b) (i) $35.5^\circ$ (ii) Yes

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2021-I-19

Ans: (a) $(6k+7,5k+4)$ (b) $(7-6k,5k+4)$ (c) (i) $4x-3y-9

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2021

2021-II-01

Ans: B

$\begin{array}{cl}
& \dfrac{(2^n)(8^{3n})}

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2021